Fuzzy stability of Jensen-type quadratic functional equations
type: Item
instance of: scholarly article
title: Fuzzy stability of Jensen-type quadratic functional equations
zbMATH Open document ID: 1167.39015
DOI: 10.1155/2009/535678
author: Jung Rye Lee
author: Choonkil Park
author: D. Y. Shin
author: Sun Young Jang
published in: Abstract and Applied Analysis
publication date: 2009-07-02T00:00:00Z
full work available at URL: https://eudml.org/doc/55827
review text: Summary: We prove the generalized Hyers-Ulam stability of the following quadratic functional equations \[ 2f((x+y)/2)+2f((x - y)/2)=f(x)+f(y) \] and \[ f(ax+ay)+(ax - ay)=2a^{2}f(x)+2a^{2}f(y) \] in fuzzy Banach spaces for a nonzero real number \(a\) with \(a\neq \pm 1/2\).
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 39B52
Mathematics Subject Classification ID: 26E50
zbMATH DE Number: 5574398
zbMATH Keywords: Hyers-Ulam stability
zbMATH Keywords: quadratic functional equations
zbMATH Keywords: fuzzy Banach spaces
Wikidata QID: Q58646617
MaRDI profile type: Publication
OpenAlex ID: W2034637545
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description: scientific article; zbMATH DE number 5574398